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Finding the Fourth Proportional to 306,533.30, 423,210.30 and 209,898.86

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Solution

The fourth proportional to 306,533.30, 423,210.30 and 209,898.86 is: 289,793.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,533.30 : 423,210.30 = 209,898.86 : x
  2. Step 2: Convert to fraction form
    306,533.30/423,210.30 = 209,898.86/x
  3. Step 3: Cross multiply
    306,533.30x = 423,210.30 × 209,898.86
  4. Step 4: Simplify right side
    306,533.30x = 88,831,359,510.26
  5. Step 5: Solve for x
    x = 88,831,359,510.26/306,533.30
  6. Step 6: Final answer
    x = 289,793.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.